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monitta
3 years ago
10

Please need help on geometry

Mathematics
1 answer:
Doss [256]3 years ago
6 0
These involve the rules for the power of a point. For questions 6-8, we use the theorem that the square of the length of the tangent is equal to the length of the secant multiplied by the length of its external segment.
6. 6^2 = (3)(x + 3)12 = x + 3x = 9 units
7. 4^2 = (2)(x + 2)8 = x + 2x = 6 units
8. 24^2 = (12)(x + 12)48 = x + 12x = 36 units
9. The included angle is half the difference of the larger and smaller arcs. Since the larger arc is 85 degrees, the smaller is 25 degrees, and the difference is 60. Half this difference is x = 30 degrees.
10. The angles at the intersection are vertical angles, so both equal to 65 degrees. Then the sum of the intercepted arcs must be equal to double of the vertical angle: 2 x 65 = 130 degrees. Since one is 95 degrees, the other is x = 130 - 95 = 35 degrees.
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The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technicia
sveta [45]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Technician __Shutdown

Taylor, T___4

Rousche, R _ 3

Hurley, H__ 3

Huang, Hu___2

Gupta, ___ 5

The Numbe of samples of 2 possible from the 5 technicians :

We use combination :

nCr = n! ÷ (n-r)!r!

5C2 = 5!(3!)2!

5C2 = (5*4)/2 = 10

POSSIBLE COMBINATIONS :

TR, TH, THu, TG, RH, RHu, RG , HHu, HG, HuG

Sample means :

TR = (4+3)/2 = 3.5

TH = (4+3)/2 = 3.5

THu = (4+2) = 6/2 = 3

TG = (4 + 5) = 9/2 = 4.5

RH = (3+3) = 6/2 = 3

RHu = (3+2) /2 = 2.5

RG = (3 + 5) = 8/2 = 4

HHu = (3+2) = 2.5

HG = (3+5) = 8/2 = 4

HuG = (2+5) / 2 = 3.5

Mean of sample mean (3.5+3.5+3+4.5+3+2.5+4+2.5+4+3.5) / 10 = 3.4

Population mean :

(4 + 3 + 3 + 2 + 5) / 5 = 17 /5 = 3.4

Population Mean and mean of sample means are the same.

This distribution should be approximately normal.

7 0
3 years ago
Write the expression:<br><br> The quotient of the sum 3y and 5, and y squared.
lesya692 [45]

Answer:

(3y + 5) / (y^2)

Step-by-step explanation:

Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay

6 0
3 years ago
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. H
Fittoniya [83]

Answer:

210 student's

Step-by-step explanation:

80 students chose the aquarium.

60 students chose the science center.

30 students chose the planetarium.

40 students chose the farm.

The students can't vote for more than one place, so you just add all the numbers together.

80 + 60 + 30 + 40 = 210 students

8 0
3 years ago
Read 2 more answers
The base edge of an oblique square pyramid is represented as x cm. If the height is 9cm, what is the volume of the pyramid in te
Tom [10]
A is correct:

Let volume v, length l, and h height.

v= (l²h)/3

v=(x²9)/3

v=3x²
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3 years ago
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Answer:

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